Singleton Interval

3.1.1 Singleton Interval

The map for a real number $r∈R$ in interval space, $X-→ IR$ would hence correspond to

X ={r∈R :x=x =r}= [r,r]

This is called a singleton interval, where $- r=r$ . The reverse map on a singleton interval is defined as being $- r= x= x$ . For non-singleton intervals the map $IR-→ R$ is generally defined as the midpoint between the interval limits, however multiple further definitions exist - see the chapter on Interval Intrinsic Functions for a listing on the supported methods.

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